Algebraic Techniques in Differential Cryptanalysis Revisited [PDF]
, 2011 At FSE 2009, Albrecht et al. proposed a new cryptanalytic method that combines algebraic and differential cryptanalysis. They introduced three new attacks, namely Attack A, Attack B and Attack C.
Sun, Yue +7 more
core +1 more source
Multiset-Algebraic Cryptanalysis of Reduced Kuznyechik, Khazad, and secret SPNs
IACR Transactions on Symmetric Cryptology, 2017 We devise the first closed formula for the number of rounds of a blockcipher with secret components so that these components can be revealed using multiset, algebraic-degree, or division-integral properties, which in this case are equivalent.
Alex Biryukov +2 more
doaj +1 more source
A Method of Ultra-Large-Scale Matrix Inversion Using Block Recursion
Information, 2020 Ultra-large-scale matrix inversion has been applied as the fundamental operation of numerous domains, owing to the growth of big data and matrix applications.
HouZhen Wang, Yan Guo, HuanGuo Zhang
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Algebraic Attacks against Some Arithmetization-Oriented Primitives
IACR Transactions on Symmetric Cryptology, 2022 Recent advanced Zero-Knowledge protocols, along with other high-level constructions such as Multi-Party Computations (MPC), have highlighted the need for a new type of symmetric primitives that are not optimized for speed on the usual platforms (desktop
Augustin Bariant +3 more
doaj +1 more source
Algebraic Cryptanalysis of Hidden Field Equation (HFE) Cryptosystems Using Gröbner Bases [PDF]
, 2003 . In this paper, we review and explain the existing algebraic cryptanalysis of multivariate cryptosystems from the hidden field equation (HFE) family. These cryptanalysis break cryptosystems in the HFE family by solving multivariate systems of equations.
Faugère, Jean-Charles +3 more
core +1 more source
Algebraic cryptanalysis of hidden field equation (HFE) cryptosystems using Groebner bases [PDF]
, 2003 Colloque avec actes et comité de lecture. internationale.International audienceIn this paper, we review and explain the existing algebraic cryptanalysis of multivariate cryptosystems from the hidden field equation (HFE) family.
Faugère, Jean-Charles, Joux, Antoine
core +2 more sources
Improved Algebraic Cryptanalysis of the Reduced-Round Advanced Encryption Standard [PDF]
, 2011 As we know Cryptology is divided into two parts: “Cryptography” and “Cryptanalysis”. Since block ciphers can be deployed in many different applications, so we focus on Advanced Encryption Standard (AES) which is the successor of Data Encryption Standard
Rezaeipour, Davood
core
Linear (Hull) and Algebraic Cryptanalysis of the Block Cipher PRESENT [PDF]
, 2009 The contributions of this paper include the first linear hull and a revisit of the algebraic cryptanalysis of reduced-round variants of the block cipher PRESENT, under known-plaintext and ciphertext- only settings.
Sepehrdad, Pouyan +7 more
core +1 more source
A new method to solve MRHS equation systems and its connection to group factorization
Journal of Mathematical Cryptology, 2013 Multiple right-hand side (MRHS) equations over finite fields are a relatively new tool useful for algebraic cryptanalysis. The main advantage is in an efficient representation of the cryptographic primitives.
Zajac Pavol
doaj +1 more source
Preimage attacks on reduced‐round Keccak hash functions by solving algebraic systems
IET Information Security, 2023 In this paper, improved preimage attacks are presented on 3‐round Keccak‐256 and Keccak‐512 and 4‐round Keccak‐256 based on algebraic methods. The authors propose some new properties about the components of Keccak permutation, reconsider the existing ...
Junling Pei, Lusheng Chen
doaj +1 more source